mathsurgery - GCSE N7

Modular GCSE Learning Outline created Oct 2010

module ref:	GM4 (& GM6)	topic:	Circle Geometry
week number:	year 10 wk 27 - 28	duration:	7 hours

Introduction:
This module will cover the unit GM6 as well as GM4 (GM6 is actually examined during Unit 3). This unit is derived from Edexcel module 2-16 and 3-21. The content required for Unit 2 is for pupils to know the parts of a circle and to be able to use the “simpler” circle theorems. Angle at the centre, alternate segment & cyclic quadrilaterals are assessed in Unit 3 but it makes sense for them to be taught during this module.

Suggested Phasing of Lessons (for higher pupils the focus may be more on the circle theorems rather than spending too long on constructing & basic angle facts, for foundation pupils adjust as appropriate):

Lesson number	My chosen LOs	Starter	Main	Plenary
1	WILF is to use language associated with circles & be able to construct circles accurately	Baseline activity: find out what pupils can recall.	Secure knowledge just within capability of average student.	Review of parts of the circle
2	WILF is to be able to recall & use basic angle facts	Which angle facts can the recall	Skill development: work toward secure knowledge. Possible team activity?	Review of angle facts – whiteboards?
3	WILF is to discover the circle theorems	Reminder of the parts of the circle	Pupils to construct (using ICT or compasses) circles with guidance to discover the circle theorems.	(P) Recap of what has been discovered
4	WILF is to use and understand circle theorems (isosceles triangles & right angles)
5	WILF is to use and understand further circle theorems (angles at the centre, cyclic quadrilaterals, same segment)	Skill development: check what is recalled from the previous lesson’s (M)	Skill development: work toward secure knowledge of next LO	(P) What next?
6	WILF is to use and understand the alternate segment theorem	Skill development: check what is recalled from the previous lesson’s (M)	Skill development: work toward secure knowledge of next LO	(P) What next?
7	WILF is for you to prove the circle theorems & explain why they are true using angle facts you already know

Modular GCSE Learning Outline created Feb 2011

module ref: GM4		topic: Circle Geometry
week number:	27 &28	duration:	7 hours

grade	level	learning objective	learning activity
A*	10	¨prove the circle theorems
A*	10	¨
A	9	¨Use the alternate segment theorem
A	9	¨Recognise cyclic quadrilaterals, angles in the same segment and angles at the centre and use these to find unknown angles stating reasons for answers
B	8	¨Recognise and use isosceles triangles in circles
B	8	¨Realise that right angles are created in a semi circle, when a radius meets a tangent & when a chord meets a line from the centre ¨Realise that two tangents from a circle are equal	8Cabri could be used for pupils to discover the circle theorems for themselves? ] opportunity for open-ended task ÊPLTs independent enquirer & reflective – ‘analyse information’ write down what they discover about circle theorems IAlternatively if ICT is unavailable: ÊPupils to create & draw the circle theorems with guidance 8This powerpoint is from “Boardworks” and could be adapted/modified as appropriate
C	7	¨
	7	¨
	7
D	6

D	6	¨Solve geometrical problems using properties of angles ¨Know and use the language associated with circles.	8This powerpoint can be used to reinforce the parts of a circle
D
E	5	¨Use a wider range of properties of 2-D shapes ¨Use language associated with angle and know and use the angle sum of a triangle and that of angles at a point ¨Measure and draw angles to the nearest degree, when constructing models and drawing or using shapes ¨	IMathematical team game “Hidden Message” from Mathematical Team Games book in c4 (or see JFl) Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’
E
F		¨

		¨
G
G		¨

Tag cloud:

GCSE N7